1.6 2.5 0.3261 0.08422 3.5 0.01596

Q: Evaluate J by means of trapezoidal rule using n = 20. Round off your answer to the nearest ten…

A: The final answer(rounded to ten thousand decimal places) is=0.7467

Q: (5) Show that for any real number x and a subset A of R, exactly one of the following holds: (a) x…

A: Closure(A)= interior(A) U boundary (A)  if  point x belong to Closure (A) then either x is in…

Q: Set up the iterated double integral in polar coordinates that gives the volume of the solid enclosed…

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Q: 23. 2x² + y = 0 and y = 8x

A: As per the policy we are allowed to answer only one question at a time. So, I am answering the first…

Q: (b) Find Fourier cosine transform of f(x)= 1 0<x< 1/ -1<x<

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Q: L{tcost + sint} 2s a. (s²+1) 2s b. (s²+1)² 25² C. (s²+1)² 25² d. (s²+1)

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Q: 3.) Determine the absolute and relative error that occurs when approximating the integral 32x² dx…

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Q: Show that the function f(x) = -x²(x + 1)² on (-001 +00) Show that it has an absolute maximum and…

A: f(x) = - x2 (x+1)2       = - x2(x2 + 2x +1)  f(x)= - x4 - 2x3-x2 f'(x)= - 4x3-6x2-2x

Q: 1.) Give the Fourier transform of the function f. Sx ha x = [0, 1] f(x) = 0 otherwise.

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Q: - [₁ Le Evaluate J = dx by means of (2) with n= 10.

A: Solution:-

Q: "m+nis 5. ( Let set A be the set of integers. For all m and n in A, mRn odd". Determine if the…

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Q: f(x) = |x|, −π<x< T 1-(-1)" a. f(x) = 2 Σ=1 sin nx n (-1)"+1 00 b. f(x) = 1 + ² =1 - 2 πT n² (-1)"-1…

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Q: How many years will it take $5,000 invested at 8% simple interest to double? How long will it take…

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Q: Consider the following linear programming problem; Max. X0 = 3 x1 + 4 x2 Subject To: 2 x1 + 6 x2 ≤…

A: After introducing slack variables Max Z =   3 x1 + 4 x2 + 0 S1 + 0 S2 subject to…

Q: Using the shell method, what will be the equation of the volume of the solid formed when the region…

A: We can solve this using shell method

Q: Please prove by using the definition of limits

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Q: Use Cartesian coordinates to evaluate y² dV D where D is the tetrahedron in the first octant bounded…

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Q: (3) Prove the Generalized Triangle Inequality: if a₁, a2,..., an € R then [a₁ + a2 + (Hint: Use the…

A: We need to prove generalized triangular inequality, That is , if a1 , a2 , ....... , an ∈ ℝ  then…

Q: 10. y" + 3y + 2.25y = 9t³ + 64, y(0) = 1, y'(0) = 31.5

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Q: a b Consider M₂ (R) {[%d) | a, b, c, d = R с X Y (a) Show that I = { [ + ² ] | x₁yER} is a subring…

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Q: Using the shell method, what will be the equation of the volume of the solid formed when the region…

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Q: How to get (t) when: h= -0.00439t^4+0.04293t^3-0.17316t^2-0.2711t+59471 And h=0

A: Putting h=0 in the given equation. -0.00439t4+0.04293t3-0.17316t2-0.2711t+59471=0 Let…

Q: et f(x)=sinx Determine the x-value(s) where the function has a maximum or minimum value on [0,2π)

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Q: Find the 6 roots of -i

A: We have given that ,  z = -i We need to find sixth roots of z = -i. First we will find polar form of…

Q: Evaluate J by means of Simpson's rule with n = 2m =20 and h =0.05 J= exp(-x²) dx Answer in 4 decimal…

A: f(x)=exp(-x2)h=b-an=1-020=0.05 table for x and y value: x 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4…

Q: Date aw horizontal lines to decompose each rectangle into the number of rows as indicated. give the…

A: (a) 3 rows each block is 16 therefore shaded portion as sum is  12=16+16+16=36 as product is…

Q: 1. The vector v has a magnitude of 5 meters and a direction of 60°. Find the magnitude of its…

A: We have to find the vertical and horizontal component of given vector.

Q: t, f(t) = {2, 0<t <2 2<t<5' f(t + 5) = f(t).

A: Laplace transformation of periodic function f(t) with periodicity T Lft=11-e-sT∫0Te-stf(t) dt

Q: Prove using proof of contradiction. Include explanation.   If n is an even integer, then 7n + 4 is…

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Q: Follow the instructions below: a. Use Laplace transforms to solve the following Differential…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: (a) Using the formal definition of a limit, prove that f(x) = 2x³ - 1 is continuous at the point x =…

A: The given function is                      f(x)=2x3-1 Definition of limit:  Let f(x) be a function…

Q: If E, F, G are the following elementary matrices, compute the given matrix expression. You can…

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Q: Consider the function f(x)=2 sin(π 2 (x−3)) +6  State the amplitude A, period P, and midline. State…

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Q: =) = 4 complement supplement π G radians radians

A: (a) The given angle is π4 The complement of the angle is given by π2-π4=2π-π4=π4 Therefore the…

Q: Sketch the function and write in terms of unit step function. Hence find the Laplace Transformation

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Q: 2. Evaluate the double integral that will find the volume of a solid bounded by =1-2y²-3r² and the…

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Q: What is the y-coordinate of the centroid of the plane region bounded by y = x^3 and y=x^2? 2/5 3/5…

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Q: (j+ 2)² = j=11 || B 11 first step 2nd step 3rd slep 4th step answer final

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Q: Solve the integral [e³+4x sin 2x dx using complex numbers.

A: Integration using complex number

Q: Determine the constants a, p, yo and y'o so that Y(s) = Bs + C (s + D)² is the Laplace transform of…

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Q: ا دند c) | -3 + d) 4 0-1 3-2 21 + −1 3 24 نیا

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Q: f(x) = sin nx 14.b The appropriate Fourier series for 100 1-(-1)" a. f(x) = Σn=1 n πT 2 1-12 b. f(x)…

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Q: A B C D 57 49 -- 54 9 5 57 16 60 40 53 49 16 20 47 35 -- D 54 60 20 33 19 -- E 9 40 47 33 -- 4 F 5…

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Q: Let A € M₂ (R) be given. (a) If AA¹ = 0n, prove that A = On. Does this hold if A € M₂(C)? (b)…

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Q: x²y' + 2xy = ln(x), y(1) = 2

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Q: Find the solutions if k = -1 for 7 N Kx +y+kz=K² ky +z Kx +4 -1 = = = K th + X 2

A: This question is relqted to system of non homogenious equations.

Q: ƒ(t) = t²,0 < t < 2ñ‚ ƒ(t + 2ñ) = f(t)

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Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^3, y-axis,…

A: Y = x^3 Y = 8 Revolved arbout x = 0.

Q: Identify if n-1 The series 1 + 2 + ( )²+…+(?)”¯¹ is: Convergence Divergence Σ n=1 Convergence…

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Q: Use a fixed-point iteration method and find p3 with po = 1 for f(x) = 2x³ — x − 2. O -80 7 O -53 -1

A: The given problem is to find 3rd iterative root of the given function with given initial value using…